College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.5 - Page 758: 41

Answer

$126x^5$

Work Step by Step

According to the Binomial Theorem we can obtain the $r+1$th term of the expansion of the binomial $(x+y)^n$ by the formula $_nC_rx^{n-r}y^r$. Hence here it is: (by plugging in $n=9,r=4$ and $x,y=-1$: $_9C_4(x)^{9-4}(-1)^4=15\cdot x^44y^2=126x^5\cdot1=126x^5$
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